Finding the Third Proportional to 33,654 and 72,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,654 : 72,880.50 = 72,880.50 : x
2. Step 2: Convert to fraction form
   33,654/72,880.50 = 72,880.50/x
3. Step 3: Cross multiply
   33,654x = 72,880.50 × 72,880.50
4. Step 4: Simplify right side
   33,654x = 5,311,567,280.25
5. Step 5: Solve for x
   x = 5,311,567,280.25/33,654
6. Step 6: Final answer
   x = 157,828.71